Renewal method for the ruin problem. 16 In the random walk with two absorbing barriers let un

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Renewal method for the ruin problem. 16 In the random walk with two absorbing barriers let un and un be, respectively, the probabilities of absorption at the left and the right barriers. By a proper interpretation prove the truth of the following two equations: V_(s) = U(s) V(s) = U*(s) V_a(s), Va-(s) = U(s)V(s) + U*(s) V(s). Derive (4.11) by solving this system for U(s).

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